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97218969216 = 2731312776977
BaseRepresentation
bin101101010001010110…
…0111011111010000000
3100021221100122100012120
41122202230323322000
53043101024003331
6112354535524240
710011114414015
oct1324254737200
9307840570176
1097218969216
1138259634556
1216a12529680
1392245c46b5
1449c397770c
1527deeea796
hex16a2b3be80

97218969216 has 128 divisors (see below), whose sum is σ = 261185981760. Its totient is φ = 32038256640.

The previous prime is 97218969209. The next prime is 97218969277. The reversal of 97218969216 is 61296981279.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 97218969216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13930720 + ... + 13937696.

Almost surely, 297218969216 is an apocalyptic number.

97218969216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97218969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130592990880).

97218969216 is an abundant number, since it is smaller than the sum of its proper divisors (163967012544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97218969216 is a wasteful number, since it uses less digits than its factorization.

97218969216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7390 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 60.

The spelling of 97218969216 in words is "ninety-seven billion, two hundred eighteen million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 277 384 393 524 554 786 831 1048 1108 1572 1662 2096 2216 3144 3324 4192 4432 6288 6648 6977 8384 8864 12576 13296 13954 16768 17728 20931 25152 26592 27908 35456 36287 41862 50304 53184 55816 72574 83724 106368 108861 111632 145148 167448 217722 223264 290296 334896 435444 446528 580592 669792 870888 893056 913987 1161184 1339584 1741776 1827974 1932629 2322368 2679168 2741961 3483552 3655948 3865258 4644736 5483922 5797887 6967104 7311896 7730516 10967844 11595774 13934208 14623792 15461032 21935688 23191548 29247584 30922064 43871376 46383096 58495168 61844128 87742752 92766192 116990336 123688256 175485504 185532384 247376512 253174399 350971008 371064768 506348798 742129536 759523197 1012697596 1519046394 2025395192 3038092788 4050790384 6076185576 8101580768 12152371152 16203161536 24304742304 32406323072 48609484608 97218969216